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Finding the Fourth Proportional to 38,643, 57,964.52 and 10,941

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Solution

The fourth proportional to 38,643, 57,964.52 and 10,941 is: 16,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643 : 57,964.52 = 10,941 : x
  2. Step 2: Convert to fraction form
    38,643/57,964.52 = 10,941/x
  3. Step 3: Cross multiply
    38,643x = 57,964.52 × 10,941
  4. Step 4: Simplify right side
    38,643x = 634,189,813.32
  5. Step 5: Solve for x
    x = 634,189,813.32/38,643
  6. Step 6: Final answer
    x = 16,411.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.